MATH 160 – QUIZ #11 ( 6-3, 6-4, 6-5) Name________________ Section_____
TUTORS MAY ASSIST STUDENTS WITH THIS TAKE-HOME QUIZ
1. You are using 4 sided tetrahedral dice in a dice game. One of these 4 sided dice has the
numbers 1 2 3 and 4, one on each side of the die. Let’s consider the population consisting of
{1,2,3,4}. If two numbers are randomly selected with replacement, identify the folowing:
a) the mean of the population,
b) the sampling distribution of al posible samples of size 2 by creating a table representing the
probability distribution of the sample means.
2. a) The population of weights of adult men are normaly distributed with a mean of 172 lbs.
and a standard deviation of 29 lbs. Find the probability that if an individual man is randomly
selected, his weight will be greater than 175 lbs. Draw the distribution.
b) The population of weights of adult men are normaly distributed with a mean of 172 lbs.
and a standard deviation of 29 lbs. Find the probability that 40 randomly selected men will
have a mean weight greater than 175 lbs. Draw the distribution.
c) If the population of weights of men are NOT normaly distributed, could you do part “a”?
EXPLAIN
d) If the population of weights of men are NOT normaly distributed, could you do part “b”?
EXPLAIN
3. 82 38 67 54 65 55 94 17 36 83 66 68 9 34 56 35 45 57 53 52
Use each of the folowing to explain if the data is normal:
a) a Histogram b) a Box-and Whisker Plot c) a Normal Probability Plot